230978642304 has 64 divisors (see below), whose sum is σ = 614211425280. Its totient is φ = 76908249600.

The previous prime is 230978642299. The next prime is 230978642423. The reversal of 230978642304 is 403246879032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×230978642304² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19689 + ... + 679959.

It is an arithmetic number, because the mean of its divisors is an integer number (9597053520).

Almost surely, 2^230978642304 is an apocalyptic number.

230978642304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230978642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105712640).

230978642304 is an abundant number, since it is smaller than the sum of its proper divisors (383232782976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230978642304 is an equidigital number, since it uses as much as digits as its factorization.

230978642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661199 (or 661187 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 230978642304 in words is "two hundred thirty billion, nine hundred seventy-eight million, six hundred forty-two thousand, three hundred four".